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Simplifying -7y + -23 = -9(y + 1) Reorder the terms: -23 + -7y = -9(y + 1) Reorder the terms: -23 + -7y = -9(1 + y) -23 + -7y = (1 * -9 + y * -9) -23 + -7y = (-9 + -9y) Solving -23 + -7y = -9 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -23 + -7y + 9y = -9 + -9y + 9y Combine like terms: -7y + 9y = 2y -23 + 2y = -9 + -9y + 9y Combine like terms: -9y + 9y = 0 -23 + 2y = -9 + 0 -23 + 2y = -9 Add '23' to each side of the equation. -23 + 23 + 2y = -9 + 23 Combine like terms: -23 + 23 = 0 0 + 2y = -9 + 23 2y = -9 + 23 Combine like terms: -9 + 23 = 14 2y = 14 Divide each side by '2'. y = 7 Simplifying y = 7
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